29791 has 4 divisors (see below), whose sum is σ = 30784. Its totient is φ = 28830.

The previous prime is 29789. The next prime is 29803. The reversal of 29791 is 19792.

The cubic root of 29791 is 31.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 29791 - 2^{1} = 29789 is a prime.

It is a Duffinian number.

29791 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946 + ... + 976.

It is an arithmetic number, because the mean of its divisors is an integer number (7696).

2^{29791} is an apocalyptic number.

29791 is a deficient number, since it is larger than the sum of its proper divisors (993).

29791 is an frugal number, since it uses more digits than its factorization.

29791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 31 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 29791 is about 172.6006952477.

Subtracting from 29791 its reverse (19792), we obtain a palindrome (9999).

It can be divided in two parts, 29 and 791, that added together give a triangular number (820 = T_{40}).

The spelling of 29791 in words is "twenty-nine thousand, seven hundred ninety-one".

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